To quote one of my professors, from the AP release:

Drew Baden, chairman of the physics department at the University of Maryland, said it is far more likely that there are measurement errors or some kind of fluke. Tracking neutrinos is very difficult, he said.

"This is ridiculous what they're putting out," Baden said, calling it the equivalent of claiming that a flying carpet is invented only to find out later that there was an error in the experiment somewhere. "Until this is verified by another group, it's flying carpets. It's cool, but ..."

Also, Sean Carroll wrote a blog post which gives a good description of the physics and links to several other posts on the topic.